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Simplifying log[5](-7 + -4x) = 1 Reorder the terms for easier multiplication: 5glo(-7 + -4x) = 1 (-7 * 5glo + -4x * 5glo) = 1 (-35glo + -20glox) = 1 Solving -35glo + -20glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + -35glo + -20glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -35glo + -20glox = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 35glo + 20glox) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 35glo + 20glox)' equal to zero and attempt to solve: Simplifying 1 + 35glo + 20glox = 0 Solving 1 + 35glo + 20glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 35glo + -1 + 20glox = 0 + -1 Reorder the terms: 1 + -1 + 35glo + 20glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 35glo + 20glox = 0 + -1 35glo + 20glox = 0 + -1 Combine like terms: 0 + -1 = -1 35glo + 20glox = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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